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Finding the Fourth Proportional to 8,009, 12,010.44 and 3,847.82

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Solution

The fourth proportional to 8,009, 12,010.44 and 3,847.82 is: 5,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009 : 12,010.44 = 3,847.82 : x
  2. Step 2: Convert to fraction form
    8,009/12,010.44 = 3,847.82/x
  3. Step 3: Cross multiply
    8,009x = 12,010.44 × 3,847.82
  4. Step 4: Simplify right side
    8,009x = 46,214,011.24
  5. Step 5: Solve for x
    x = 46,214,011.24/8,009
  6. Step 6: Final answer
    x = 5,770.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.